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Finding the Fourth Proportional to 472.72, 704.37 and 446.30

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Solution

The fourth proportional to 472.72, 704.37 and 446.30 is: 665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 704.37 = 446.30 : x
  2. Step 2: Convert to fraction form
    472.72/704.37 = 446.30/x
  3. Step 3: Cross multiply
    472.72x = 704.37 × 446.30
  4. Step 4: Simplify right side
    472.72x = 314,360.33
  5. Step 5: Solve for x
    x = 314,360.33/472.72
  6. Step 6: Final answer
    x = 665.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.